The q-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons
Abstract
Based on the eigenfunction symmetry constraint of the q-deformed modified KP hierarchy, a q-deformed mKP hierarchy with self-consistent sources (-mKPHSCSs) is constructed. The q-mKPHSCSs contains two types of q-deformed mKP equation with self-consistent sources. By combination of the dressing method and the method of variation of constants, a generalized dressing approach is proposed to solve the q-deformed KP hierarchy with self-consistent sources (-KPHSCSs). Using the gauge transformation between the -KPHSCSs and the -mKPHSCSs, the q-deformed Wronskian solutions for the -KPHSCSs and the -mKPHSCSs are obtained. The one-soliton solutions for the q-deformed KP (mKP) equation with a source are given explicitly.
Keywords
Cite
@article{arxiv.1005.3878,
title = {The q-deformed mKP hierarchy with self-consistent sources, Wronskian solutions and solitons},
author = {Runliang Lin and Hua Peng and Manuel Manas},
journal= {arXiv preprint arXiv:1005.3878},
year = {2015}
}
Comments
17 pages, no figue, to be published in J. Phys. A